\section{Introduction}
\label{sec:introduction}

This is the report for the practical exercise for the course on numerical optimization taught by prof. M. Diehl. In this report we will discuss the formulation and solution of an optimization problem. The optimization problem itself is clarified in section \ref{sec:problem}. In this section the decision variables and the constraints are given. After the explanation of all the different variables in play, the objective function is formulated. The algorithm for solving this optimization problem is explained in section \ref{sec:solution}. We conclude this report with conclusions made during the execution of the exercise in section \ref{sec:conclusion}.

